1989Scandinavian Actuarial JournalRequires access

Calculation of Ruin Probabilities when the Premium Depends on the Current Reserve

Søren Schock Petersen

Open publisher page 32 citations

Abstract

The purpose of this paper is to show how the ruin probability can be found for a compound Poisson risk process with a general premium rate p(r) depending on the reserve r, and it is illustrated how the probability of ruin can be calculated using a simple numerical method.

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What this paper is about

The purpose of this paper is to show how the ruin probability can be found for a compound Poisson risk process with a general premium rate p(r) depending on the reserve r, and it is illustrated how the probability of ruin can be calculated using a simple numerical method.

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OpenAlex reports 32 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The purpose of this paper is to show how the ruin probability can be found for a compound Poisson risk process with a general premium rate p(r) depending on the reserve r, and it is illustrated how the probability of ruin can be calculated using a simple numerical method.

Key concepts: Ruin theory, Poisson distribution, Simple (philosophy), Mathematics, Poisson process, Compound Poisson process, Current (fluid), Risk model

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